• DocumentCode
    862301
  • Title

    On index sum of completely stable dynamical systems

  • Author

    Yang, Xiao-Song

  • Author_Institution
    Dept. of Autom., Xiamen Univ., China
  • Volume
    49
  • Issue
    11
  • fYear
    2002
  • fDate
    11/1/2002 12:00:00 AM
  • Firstpage
    1683
  • Lastpage
    1685
  • Abstract
    In this brief, we present a fundamental formula for index sum of equilibrium points of completely stable autonomous dynamical systems, concerning a connection between equilibrium points, and from which one can know the upper bound for the number of stable equilibrium points of a completely stable system.
  • Keywords
    Lyapunov methods; asymptotic stability; autonomous dynamical systems; completely stable dynamical systems; equilibrium points; index sum; upper bound; Asymptotic stability; Automation; Cellular neural networks; Circuits; Cities and towns; Differential equations; Hopfield neural networks; Neural networks; Sufficient conditions; Upper bound;
  • fLanguage
    English
  • Journal_Title
    Circuits and Systems I: Fundamental Theory and Applications, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    1057-7122
  • Type

    jour

  • DOI
    10.1109/TCSI.2002.804742
  • Filename
    1046841
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=862301